If the total mark of the exam is 100 then their combined average of their percentage is 68.75

Therefore, if their combined average of their percentage is 137.5 then the total marks would be (137.5 / 68.75)*100 = 200.

Q2) If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?

Solution:

Let Cost price of 1 article be Re.1.

Therefore, Cost price of 20 articles = Rs. 20.

Selling price of 16 articles = Rs. 20

Therefore, Selling price of 20 articles = (20/16) * 20 = 25

Profit = Selling price – Cost price

= 25 – 20 = 5

Percentage of profit = Profit / Cost price * 100.

= 5 / 20 * 100 = 25% Profit

Q3. A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

Solution:

Let the maximum marks be x.

From the given statement pass percentage is 42% – 12% = 30%

By hypothesis, 30% of x – 20% of x = 10 (marks)

i.e., 10% of x = 10

Therefore, x = 100 marks.

Q4. When processing flower-nectar into honeybees extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?

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